A function whose value increases more slowly to infinity than any nonconstant polynomial is said to be a logarithmically increasing function. The prototypical example is
the function 
, plotted above.
Logarithmically Increasing Function
See also
Exponentially Decreasing Function, Exponentially Increasing Function, Logarithmically Decreasing FunctionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Logarithmically Increasing Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LogarithmicallyIncreasingFunction.html